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Finding the Fourth Proportional to 2,088.56, 3,131.22 and 856.28

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Solution

The fourth proportional to 2,088.56, 3,131.22 and 856.28 is: 1,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.56 : 3,131.22 = 856.28 : x
  2. Step 2: Convert to fraction form
    2,088.56/3,131.22 = 856.28/x
  3. Step 3: Cross multiply
    2,088.56x = 3,131.22 × 856.28
  4. Step 4: Simplify right side
    2,088.56x = 2,681,201.06
  5. Step 5: Solve for x
    x = 2,681,201.06/2,088.56
  6. Step 6: Final answer
    x = 1,283.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.